A remark on norm inflation with general initial data for the cubic nonlinear Schrödinger equations in negative Sobolev spaces

Tadahiro Oh

doi:10.1619/fesi.60.259

A remark on norm inflation with general initial data for the cubic nonlinear Schrödinger equations in negative Sobolev spaces

Tadahiro Oh

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this note, we consider the ill-posedness issue for the cubic nonlinear Schrödinger equation. In particular, we prove norm inflation based at every initial condition in negative Sobolev spaces below or at the scaling critical regularity.

Original language	English
Pages (from-to)	259-277
Number of pages	19
Journal	Funkcialaj ekvacioj-Serio internacia
Volume	60
Issue number	2
DOIs	https://doi.org/10.1619/fesi.60.259
Publication status	Published - 13 Jul 2017

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10.1619/fesi.60.259

1509.08143v1Accepted author manuscript, 257 KB

ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations
Oh, T.
EU government bodies
1/03/15 → 29/02/20
Project: Research

Cite this

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abstract = "In this note, we consider the ill-posedness issue for the cubic nonlinear Schr{\"o}dinger equation. In particular, we prove norm inflation based at every initial condition in negative Sobolev spaces below or at the scaling critical regularity. ",

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A remark on norm inflation with general initial data for the cubic nonlinear Schrödinger equations in negative Sobolev spaces

Abstract

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ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations

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